Koch Curves: Rewriting System, Geometry and Application
Abstract
Problem statement: Recently, new Koch curves have been generated by dividing the initiator into three unequal parts. There is no formal rewriting system to generate such kind of curves. Approach: It is required to measure the new changed geometrical properties. Generalized rewriting systems for the new Koch curves have been developed. Results: New formulas have been given to measure their geometrical properties. Conclusion/Recommendations: The geometrical properties of new Koch curves make them more suitable as antennas in wireless communication than the conventional Koch curve.
DOI: https://doi.org/10.3844/jcssp.2011.1330.1334
Copyright: © 2011 Mamta Rani, Riaz Ul Haq and Norrozila Sulaiman. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Koch curve
- superior koch curve
- koch loop
- rewriting system
- fractal antenna
- fractal dimension
- rewriting rules
- fundamental mathematical properties
- natural number
- superior fractals
- multi-band characteristics